The Gyro-Kinetic Approximation. An attempt at explaining the method based on Darboux Algorithm and Lie Transform

2011/11/07 by Emmanuel Frénod, Emmanuel Frenod, Frenod, Emmanuel +2
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paper · pdf · doi:10.48550/arxiv.1111.1510

arxiv created 2011/11/07 · openalex publication_date 2011/11/07 · arxiv updated 2011/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This Proceeding presents the method that allows us to get the Gyro-Kinetic Approximation of the Dynamical System satisfied by the trajectory of a particle submitted to a Strong Magnetic Field. The goal of the method is to build a change of coordinates in order to make the dynamic of two components of the trajectory to disappear. This change of coordinates is based on a Darboux mathematical Algorithm and on a Lie Transform

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